Solving Complex Fractions: Real-World Applications for 7th Graders

A recipe calls for \(\frac{3}{4}\) of a cup of sugar for every \(\frac{2}{3}\) of a cup of flour. How much sugar is needed for \(\frac{1}{2}\) cup of flour?

• rac{5}{8} cup

• rac{1}{3} cup

• \frac{9}{16} cup

• 1 cup

If a car travels \(\frac{5}{6}\) of a mile in \(\frac{3}{4}\) of an hour, what is the speed of the car in miles per hour?

• 2 miles per hour

• 1.1111 miles per hour

• 0.75 miles per hour

• 1.5 miles per hour

A gardener uses \(\frac{2}{5}\) of a bag of soil for each plant. If he has \(\frac{3}{2}\) bags of soil, how many plants can he plant?

• 2

• 5

• 3

• 4

A student scored \(\frac{4}{5}\) on a test that had \(\frac{3}{4}\) of the questions correct. What fraction of the total questions did the student answer correctly?

• rac{1}{2}

• 1

• rac{5}{6}

• \frac{3}{4}

A recipe requires \(\frac{1}{3}\) of a cup of oil for \(\frac{2}{5}\) of a batch of cookies. How much oil is needed for a full batch?

• 1/2 cup

• 5/6 cup

• 3/4 cup

• 2/3 cup

If a train travels \(\frac{7}{8}\) of a mile in \(\frac{1}{2}\) hour, how far does it travel in one hour?

• 1 mile

• 0.875 miles

• 2 miles

• 1.75 miles

A painter uses \(\frac{5}{6}\) of a gallon of paint for \(\frac{2}{3}\) of a room. How much paint is needed for the entire room?

• 1 gallon

• 1.5 gallons

• 0.75 gallons

• 1.25 gallons

A recipe calls for \(\frac{3}{4}\) of a cup of milk for \(\frac{1}{2}\) of a cake. How much milk is needed for a full cake?

• 1.5 cups

• 2 cups

• 3/4 cup

• 1 cup

If a cyclist rides \(\frac{2}{3}\) of a mile in \(\frac{1}{4}\) of an hour, what is the cyclist's speed in miles per hour?

• 1.5 miles per hour

• 4 miles per hour

• 3 miles per hour

• 2.67 miles per hour

A chef uses \(\frac{1}{2}\) of a pound of cheese for \(\frac{3}{4}\) of a pizza. How much cheese is needed for a whole pizza?

• 3/4 pound

• 1/4 pound

• 1 pound

• 2/3 pounds